Finding the Third Proportional to 147,157.50 and 317,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,157.50 : 317,629.50 = 317,629.50 : x
2. Step 2: Convert to fraction form
   147,157.50/317,629.50 = 317,629.50/x
3. Step 3: Cross multiply
   147,157.50x = 317,629.50 × 317,629.50
4. Step 4: Simplify right side
   147,157.50x = 100,888,499,270.25
5. Step 5: Solve for x
   x = 100,888,499,270.25/147,157.50
6. Step 6: Final answer
   x = 685,581.77